A necessary and sufficient condition for the existence of symmetric positive solutions of higher-order boundary value problems |
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| Authors: | Yan Luo Zhiguo Luo |
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| Institution: | 1. Department of Mathematics, Hunan University of Science and Technology, Xiangtan, Hunan 411201, PR China;2. Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, PR China |
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| Abstract: | A necessary and sufficient condition is obtained for the existence of symmetric positive solutions to higher-order nonlinear boundary value problems. The uniqueness, an iterative sequence and an error estimation for symmetric positive solutions are also discussed. Moreover, we give an example to illustrate the applicability of our results. Our analysis mainly relies on the monotone iterative technique. |
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